Problem: As you very well know, this year's funkiest numbers are so called triangular numbers (that is, integers that are representable as <image>, where k is some positive integer), and the coolest numbers are those that are representable as a sum of two triangular numbers.

A well-known hipster Andrew adores everything funky and cool but unfortunately, he isn't good at maths. Given number n, help him define whether this number can be represented by a sum of two triangular numbers (not necessarily different)!

Input

The first input line contains an integer n (1 ≤ n ≤ 109).

Output

Print "YES" (without the quotes), if n can be represented as a sum of two triangular numbers, otherwise print "NO" (without the quotes).

Examples

Input

256


Output

YES


Input

512


Output

NO

Note

In the first sample number <image>.

In the second sample number 512 can not be represented as a sum of two triangular numbers.

Solution (in JAVA):

Solution:

import java.util.*;
import java.util.function.Function;
import java.util.stream.Collectors;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Random;
import java.util.StringTokenizer;
import java.io.*;
import java.math.*;

public class CC
{

    public static void main(String[] args)
    {
        StringBuffer sb = new StringBuffer();
        //int t=i();
        //while (t-->0)
        //{
          long n=i();
          ArrayList<Long>l=new ArrayList<>();
          for(int i=1;(i*(i+1))/2<=n;i++)
          {
              l.add((long)(i*(i+1))/2);
          }
          int flag=0;
          Collections.sort(l);
              for (int i = 0; i < l.size(); i++)
              {
                  long value = n - l.get(i);
                  if (Collections.binarySearch(l, value) > 0) {
                      flag = 1;
                      break;
                  }
              }
          if(n==2)
         sb.append("YES"+"\n");
         else if(flag==0)
          {
           sb.append("NO"+"\n");
          }
         else{
              sb.append("YES"+"\n");
          }





       // }






        System.out.println(sb.toString());
    }
 //********************************Class pair******************************************************************************************************************************************///////////////////////////////////////////////////////////////////////////////////////////////
    static class pair implements Comparable<pair>
    {
        int x,y;
        pair(int x,int y){
            this.x=x;
            this.y=y;
        }
        public boolean equals(Object obj)
        {
            if(this==obj)
                return true;
            if(obj==null||obj.getClass()!=this.getClass())
                return false;
            pair other=(pair)obj;
            return (this.x==other.x&&this.y==other.y);

        }
        public int hashCode(){
            return (1000000000+ x*100000 + 100*y+1000);
        }
        public int compareTo(pair o)
        {
            return this.hashCode()-o.hashCode();
        }
        public String toString()
        {
            return String.valueOf(hashCode());
        }
    }
//-------------------prime factorization********/***************************************************************************************************************************************///////////////////////////////////
static TreeMap primefactorize(long n)
{
    TreeMap<Integer,Integer>h=new TreeMap<>();
    long number=n;
    for(int i=2;i<=Math.sqrt(n);i++)
    {
        if(n%i==0)
        {
            int cnt=0;
            while(n%i==0)
            {
                n=n/i;
                cnt++;
            }
            h.put(i,cnt);
        }
    }
    if(n!=1)
        h.put((int)n,1);
    return h;
}
///******************************SYSTEM PART*****************************************************************************************************************************************************************************************************************************************************////
    static InputReader in=new InputReader(System.in);
    static OutputWriter out=new OutputWriter(System.out);

    public static long pow(long a, long b)
    {
        long result=1;
        while(b>0){
            if (b % 2 != 0){
                result=(result*a);
                b--;
            }
            a=(a*a);
            b /= 2;
        }
        return result;
    }
    public static long gcd(long a, long b){
        if (a == 0){
            return b;
        }
        return gcd(b%a, a);
    }
    public static long lcm(long a, long b){
        return a*(b/gcd(a,b));
    }
    public static long l(){
        String s=in.String();
        return Long.parseLong(s);
    }
    public static void pln(String value){
        System.out.println(value);
    }
    public static int i(){
        return in.Int();
    }
    public static String s(){
        return in.String();
    }
}
///******************input Reader//***************************************************************************************************************************************************************************************
class InputReader
{
    private InputStream stream;
    private byte[] buf = new byte[1024];
    private int curChar;
    private int numChars;
    private SpaceCharFilter filter;
    public InputReader(InputStream stream) {
        this.stream = stream;
    }
    public int read() {
        if (numChars== -1)
            throw new InputMismatchException();
        if (curChar >= numChars) {
            curChar = 0;
            try {
                numChars = stream.read(buf);
            } catch (IOException e) {
                throw new InputMismatchException();
            }
            if (numChars <= 0)
                return -1;
        }
        return buf[curChar++];
    }
    public int Int() {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        int res = 0;
        do {
            if (c < '0' || c > '9')
                throw new InputMismatchException();
            res *= 10;
            res += c - '0';
            c = read();
        } while (!isSpaceChar(c));
        return res * sgn;
    }
    public String String() {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        StringBuilder res = new StringBuilder();
        do {
            res.appendCodePoint(c);
            c = read();
        } while (!isSpaceChar(c));
        return res.toString();
    }
    public boolean isSpaceChar(int c) {
        if (filter != null)
            return filter.isSpaceChar(c);
        return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
    }
    public String next() {
        return String();
    }
    public interface SpaceCharFilter
    {
        public boolean isSpaceChar(int ch);
    }
}

//*******************OUTPUT WRITER********************************************************************************************************************************************************************************************************************************************************//
class OutputWriter {
    private final PrintWriter writer;
    public OutputWriter(OutputStream outputStream) {
        writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
    }
    public OutputWriter(Writer writer) {
        this.writer = new PrintWriter(writer);
    }
    public void print(Object...objects) {
        for (int i = 0; i < objects.length; i++) {
            if (i != 0)
                writer.print(' ');
            writer.print(objects[i]);
        }
    }
    public void printLine(Object...objects) {
        print(objects);
        writer.println();
    }
    public void close() {
        writer.close();
    }
    public void flush() {
        writer.flush();
    }
}